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Finding the Third Proportional to 54,970 and 117,714

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Solution

The third proportional to 54,970 and 117,714 is: 252,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,970 : 117,714 = 117,714 : x
  2. Step 2: Convert to fraction form
    54,970/117,714 = 117,714/x
  3. Step 3: Cross multiply
    54,970x = 117,714 × 117,714
  4. Step 4: Simplify right side
    54,970x = 13,856,585,796
  5. Step 5: Solve for x
    x = 13,856,585,796/54,970
  6. Step 6: Final answer
    x = 252,075.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.